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Finding the Fourth Proportional to 463,741, 695,408.94 and 164,122

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Solution

The fourth proportional to 463,741, 695,408.94 and 164,122 is: 246,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,741 : 695,408.94 = 164,122 : x
  2. Step 2: Convert to fraction form
    463,741/695,408.94 = 164,122/x
  3. Step 3: Cross multiply
    463,741x = 695,408.94 × 164,122
  4. Step 4: Simplify right side
    463,741x = 114,131,906,050.68
  5. Step 5: Solve for x
    x = 114,131,906,050.68/463,741
  6. Step 6: Final answer
    x = 246,111.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.